Question

HELP! The probability that Roger wins a tennis tournament is 0.75 (event A), and the probability that Stephan wins a golf tournament is 0.64 (event B). The probability that both Roger and Stephan win their respective tournaments is 0.48.
Which statement is true?
Events A and B are independent because P(A and B) = P(A) P(B).
Events A and B are independent because P(A and B) = P(A) + P(B).
Events A and B are dependent because P(A and B) = P(A) P(B).
Events A and B are dependent because P(A and B) = P(A) + P(B).
Events A and B are dependent because P(A and B) P(A) P(B).

Answer 1

@ganeshie8

Answer 2

@nincompoop

Answer 3

@freckles

Answer 4

P(A) = 0.75

P(B) = 0.64

P(A & B) = 0.48

P(A) * P(B) = 0.75*0.64 = 0.48 = P(A & B)

Which means A and B events are independent.

ANS: Events A and B are independent because P(A and B) = P(A) P(B).

Answer 5

Events A and B are independent because P(A and B) = P(A) P(B).

Answer 6

thank you both so much!

Answer 7

your welcome